Results 61 to 70 of about 5,932 (309)
Advanced Engineering Materials, EarlyView.Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
wiley +1 more source
Zeros of optimal polynomial approximants in ℓp [PDF]
, 2022 The study of inner and cyclic functions in ℓ spaces requires a better understanding of the zeros of the so-called optimal polynomial approximants. We determine that a point of the complex plane is the zero of an optimal polynomial approximant for some ...
Seco, Daniel +3 more
core +1 more source
Inequalities for the Polar Derivative of a Polynomial
Journal of Inequalities and Applications, 2009 Let p(z) be a polynomial of degree n and for any real or complex number α, and let Dαp(z)=np(z)+(α−z)p′(z) denote the polar derivative of the polynomial p(z) with respect to α.
M. Bidkham +2 more
doaj +1 more source
On Polynomials with a Prescribed Zero
Journal of Mathematical Analysis and Applications, 1994 Let \(p(z)= \sum^ n_{j=0} a_ j z^ j\) be a polynomial of degree at most ``\(n\)'' vanishing at \(z= \zeta\) \((\zeta^{n+1}\neq 1)\). The authors use Lagrange's interpolation formula to prove that for every complex number \(\lambda\) and \(k= 0,1,2,\dots,n\), \[ \begin{multlined} a_ k= \bigl(1/k!(n- k+ 1)\bigr)\sum^{n-k}_{j=0} p^{(k)}\bigl(e^{2\pi ji/(n-
Dewan, K.K., Govil, N.K.
openaire +2 more sources
Advanced Functional Materials, EarlyView.Ferroelectric nematic liquid crystals (FNLCs) offer fast, tunable polarization and low‐voltage operation but suffer from poor polarization retention at zero field. Semiconductor‐modified FNLCs enhance polarization retention and exhibit short‐ and long‐term electro‐optical responses, while also supporting spike‐type signal integrations.
Kutay Sagdic, Weiming Yao, Danqing Liu
wiley +1 more source
A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems [PDF]
, 2010 We introduce a four-variable polynomial matrix equation which plays an essential role in the stability analysis of discrete 2-D systems and in the computation of Lyapunov functions for such systems; we call this the 2-D polynomial Lyapunov equation (2-D ...
Kojima, Chiaki +2 more
core
A new proximity test for polynomial zeros [PDF]
, 2001 We combine some known techniques and results of Turan and Schönhage to improve substantially numerical performance of the computation of the minimum and the maximum distances from a fixed complex point to roots (zeros) of a fixed univariate ...
V.Y. Pan, Pan, V.Y.
core +1 more source
Spreadsheets: Laying a Foundation for Understanding Functions
Spreadsheets in Education, 2015 Linear, quadratic, and exponential functions, as well as polynomial functions, are the most basic mathematical expressions. Despite being among the most basic expressions in algebra, these functions are often used to approximate more complicated ...
Pejmon Sadri
doaj
Zeros of smallest modulus of functions resembling exp(z)
International Journal of Mathematics and Mathematical Sciences, 1982 To determine (in various senses) the zeros of the Laplace transform of a signed mass distribution is of great importance for many problems in classical analysis and number theory. For example, if the mass consists of finitely many atoms, the transform is
Kenneth B. Stolarsky
doaj +1 more source
Finding the Zeros of a High-Degree Polynomial Sequence
Journal of Optimization, Differential Equations and Their Applications, 2021 A 1-parameter initial-boundary value problem for a linear spatially 1-dimensional homogeneous degenerate wave equation, posed in a space-time rectangle, in case of strong degeneracy, was reduced to a linear integro-differential equation of convolution ...
Vladimir L. Borsch, Peter I. Kogut
doaj +1 more source